Use the intermediate value theorem to approximate the one real zero on the given interval. Round your answer to two
decimal places.
-$$f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ 2,3 ]$$
A) $2.45$
B) $- 2.24$
C) $2.24$
D) $- 2.45$

Question

Quizplus · Accepted Answer

Since $f(2) = -3 < 0$ and $f(3) = 28 > 0$, the Intermediate Value Theorem guarantees that there is at least one zero between 2 and 3.

Use the Intermediate Value Theorem to Approximate the One Real f(x)=x4−x3−7x2+5x+10;[2,3]f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ 2,3 ]f(x)=x4−x3−7x2+5x+10;[2,3]

Use the Intermediate Value Theorem to Approximate the One Real $f ( x ) = x ^ { 4 } - x ^ { 3 } - 7 x ^ { 2 } + 5 x + 10 ; [ 2,3 ]$